索结构的静力分析

基金项目: 国家自然科学基金资助项目(19872076)

Static Analysis of Cable Structure

1.
College of Aerospace and Material Engineering, National University of Defense Technology, Changsha 410073, P. R. China;

摘要: 根据柔索应变与位移的非线性几何关系以及自重作用与温度影响下的平衡方程，采用Euler描述的坐标系统精确地求得了各点的位移和张力的一般解．由索结构静力问题建立的非线性代数方程组应用改进的Powell混合算法编制的高精度DNEQNF程序直接进行求解A·D2在例题中计算了由3根索被一竖直弹簧支撑在一起的索结构，并与其他学者用不同方法得到的结果进行对比．
- 索结构 /
- 非线性变形 /
- 解析解 /
- 位移 /
- 张力
Abstract: Based on the nonlinear geometric relation between strain and displacement for flexible cable, the equilibrium equation under self-weight and influence of temperature were established and an analytical solution of displacement and tension distribution defined in Eulerian coordinate system was accurately obtained. The nonlinear algebraic equations caused by cable structure were solved directly using the modified Powell hybrid algorithm with high preision routine DNEQNE of Fortran. For example, a cable structure consisting of three cables jointly supported by a vertical spring and all the other ends fixed was calculated and compared with various methods by other scholars.
- cable structure /
- nonlinear deformation /
- analytical method /
- displacement /
- tension

[1]	袁行飞，董石麟.二节点曲线索单元非线性分析[J].工程力学，1999，16(4):59—64.
[2]	胡松，何艳丽，王肇民.大挠度索结构的非线性有限元分析[J].工程力学，2000，17(2):36—43.
[3]	杨孟刚，陈政清.两节点曲线索单元精细分析的非线性有限元方法[J].工程力学，2003，20(1):42—47.
[4]	魏建东，刘忠玉.一种连续索滑移的处理方法[J].计算力学学报，2003，20(4):495—499.
[5]	Peyrot A H,Goulois A M.Analysis of cable structures[J].Computers and Strucures,1979,10(5):805—813. doi: 10.1016/0045-7949(79)90044-0
[6]	聂建国，陈必磊，肖建春.多跨连续长索在支座处存在滑移的非线性静力分析[J].计算力学学报，2003，20(3):320—324.
[7]	王春江，钱若军，王人鹏.一种用于单索求解的迭代算法[J].空间结构，2004，10(1):20—30.
[8]	Irvine H M.Cable Structures[M].Cambridge:The MIT Press,1981.
[9]	魏建东，刘忠玉.四种不同形式的弹性悬索静力解答[J].空间结构，2005，11(2):42—45.
[10]	黄炎，唐国金.薄壳非线性变形理论[J].应用数学和力学，2000,21(6):610—616.
[11]	More J,Burton G,Kenneth H.User,Guide for MINPACk-1[R]. Arognne National Labs Report ANL Argonne Illinois,1980.